A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.
A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.
Transcribed Image Text:The image depicts a physics scenario involving a block and a spring. The illustration is divided into two parts to show the motion and compression of the spring.
**Top Part:**
- A pink block is positioned on a flat surface.
- The block is depicted with an initial velocity \( v_0 \) moving towards the right.
- In front of the block, there is a coil spring attached to a fixed surface (wall).
**Bottom Part:**
- The block is now compressed against the spring.
- The compression of the spring is represented by the distance \( \Delta x \), indicating how much the spring has compressed from its original position.
- The spring is shown in a compressed state, absorbing the kinetic energy of the moving block.
This diagram is an illustration of energy conservation, specifically kinetic energy transforming into elastic potential energy in the context of a spring-block collision.
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